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http://dx.doi.org/10.5666/KMJ.2014.54.2.237

On Strongly Extending Modules  

Atani, S. Ebrahimi (Department of Mathematics, University of Guilan)
Khoramdel, M. (Department of Mathematics, University of Guilan)
Hesari, S. Dolati Pish (Department of Mathematics, University of Guilan)
Publication Information
Kyungpook Mathematical Journal / v.54, no.2, 2014 , pp. 237-247 More about this Journal
Abstract
The purpose of this paper is to introduce the concept of strongly extending modules which are particular subclass of the class of extending modules, and study some basic properties of this new class of modules. A module M is called strongly extending if each submodule of M is essential in a fully invariant direct summand of M. In this paper we examine the behavior of the class of strongly extending modules with respect to the preservation of this property in direct summands and direct sums and give some properties of these modules, for instance, strongly summand intersection property and weakly co-Hopfian property. Also such modules are characterized over commutative Dedekind domains.
Keywords
Extending modules; Strongly extending modules; Strongly Rickart module;
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Times Cited By KSCI : 1  (Citation Analysis)
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